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Calculus, all content (2017 edition)

Unbounded limits (vertical asymptotes)

Infinite limits: algebraic

AP.CALC: LIM‑2 (EU), LIM‑2.D (LO), LIM‑2.D.1 (EK), LIM‑2.D.2 (EK)

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Let f, left parenthesis, x, right parenthesis, equals, start fraction, 3, divided by, x, end fraction.

Select the correct description of the one-sided limits of f at x, equals, 0.

Choose 1 answer:

(Choice A)
limit, start subscript, x, \to, 0, start superscript, plus, end superscript, end subscript, f, left parenthesis, x, right parenthesis, equals, plus, infinity and limit, start subscript, x, \to, 0, start superscript, minus, end superscript, end subscript, f, left parenthesis, x, right parenthesis, equals, plus, infinity
(Choice B)
limit, start subscript, x, \to, 0, start superscript, plus, end superscript, end subscript, f, left parenthesis, x, right parenthesis, equals, plus, infinity and limit, start subscript, x, \to, 0, start superscript, minus, end superscript, end subscript, f, left parenthesis, x, right parenthesis, equals, minus, infinity
(Choice C)
limit, start subscript, x, \to, 0, start superscript, plus, end superscript, end subscript, f, left parenthesis, x, right parenthesis, equals, minus, infinity and limit, start subscript, x, \to, 0, start superscript, minus, end superscript, end subscript, f, left parenthesis, x, right parenthesis, equals, plus, infinity
(Choice D)
limit, start subscript, x, \to, 0, start superscript, plus, end superscript, end subscript, f, left parenthesis, x, right parenthesis, equals, minus, infinity and limit, start subscript, x, \to, 0, start superscript, minus, end superscript, end subscript, f, left parenthesis, x, right parenthesis, equals, minus, infinity

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